- 1 The roots of science
- 2 An ancient theorem and a modern question
- 3 Kinds of numbers in the physical world
- 4 Magical complex numbers
- 5 Geometry of logarithms, powers, and roots
- 6 Real-number calculus
- 7 Complex-number calculus
- 8 Riemann surfaces and complex mappings
- 9 Fourier decomposition and hyperfunctions
- 10 Surfaces
- 11 Hypercomplex numbers
- 12 Manifolds of n dimensions
- 13 Symmetry groups
- Chapter 14: Calculus on manifolds
- 15 Fibre bundles and gauge connections
- 16 The ladder of infinity
- Chapter 17: Spacetime
- Chapter 20: Lagrangians and Hamiltonians
- Chapter 23: The entangled quantum world
- Chapter 26: Quantum field theory
- Chapter 29: The measurement paradox
- Chapter 32: Einstein’s narrower path; loop variables